**Correct
answer to 474 (a)**:
1000=10^{3}, so log(1000)=3.

Return to Question 474.

**Correct
answer to 474 (b)**: Look up in the table or on the log chart. log8=0.903

Return to Question 474.

**Correct
answer to 474 (c)**: From table or chart, Log(4.8)= 0.681

Return to Question 474.

**Correct
answer to 474 (d)** : Find the log of 3.5 first and combine with the
power of ten. 3.5 x 10^{-2} = 10^{0.54} 10^{-2} = 10^{0.54
- 2} = 10^{-1.46} . So log (3.5 x 10^{-2}) = -1.46

Return to Question 474.

**Correct answer to 474 (e)** : 2000 = 2x10^{3}=10^{0.3+3}.
Log(2000) = 3.3

Return to Question 474.

**Correct
answer to 474 (f)**: 500,000= 5x10^{5}= 10^{0.70+5}.
Log(500,000) = 5.70

Return to Question 474.

**Correct
answer to 474 (g)**: Log(2.1x10^{-2}x 4.0 x 10^{6})
= Log (8.4x10^{-2+6}) = Log(10^{0.92+4)}) = 4.92

Return to Question 474.

**Correct
answer to 474 (h)**: 0.00032 = 3.2x10-4 and Log(3.2x10-4) = Log(3.2) -4 =
0.505 - 4 = -3.49.

Return to Question 474.

**Correct
answer to 474 (i)**: Log (438x10^{5}) = Log(4.38x10^{2}x10^{5})
= Log(4.38)+7=0.64+7=7.64

Return to Question 474.

**Correct
answer to 474 (j)**: It is easiest to divide first: 5x10^{-3}/2x10^{3}
= 2.5x10^{-6}= 10^{0.398-6} = 10^{-5.6}. So Log (...)
= -5.6.

Return to Question 474.

**Correct
answer to 476 (a)**: 10^{x} by the definition of a logarithm
as the exponent in the power of ten.

Return to Question 476.

**Correct
answer to 476 (b)**: 10^{2} = 100.

Return to Question 476.

**Correct
answer to 476 (c)**: 10^{4.8}= 10^{0.8}x10^{4}
= 6.3 x10^{4} by use of the log table or chart.

Return to Question 476.

**Correct
answer to 476 (d)**: 10^{0.5} = 3.2 from the table.

Return to Question 476.

**Correct
answer to 476 (e)**: 10^{-0.5} = 1/ 10^{0.5} = 1/ 3.16
= 0.316

Return to Question 476.

**Correct answer to 476 (f): **10^{-16.5}
= 10^{-17 + 0.5}= 10^{0.5}x10^{-17} = 3.2x10^{-17}

Return to Question 476.

**Your answer to Q500: **Sorry, your answer is not correct,
please try again or click HERE to see the solution.

Help: *Fundamentals of
Sound*, Sec. 11-E.

Return to Question 500.

**Correct
Answer to Question 500:** The correct answer is c). Multiply out the
numbers to get 6 x 10^{8} = 10^{(log(6) + 8)}, so that a) is
correct. Alternatively express each number as a power of ten: 3 x 10^{3}
x 2 x 10^{5} = 10^{log(3)}x10^{3}x10^{log(2)}x10^{5}
= 10^{(log(3) + 3 + log(2) + 5)} so that b) is also correct.

Return to Question 500.

**Your answer to Q510: **Sorry, your answer is
not correct. Please try again or click HERE for the
solution.

Help: *Fundamentals of
Sound*, Sec. 11-F.

Return to Question 510.

**Correct
Answer to Question 510:** All forms are correct so d) is the answer.
0.00063 = 6.3x10^{-4} so that b) is correct. But 0.00063 = 10^{log(6.3)}x10^{-4}
= 10^{(log(6.3) -4)}, which proves c). Next log(6.3) = 0. 8 so that
log (0.00063) = 0.8-4 = -3.2 proving a).

Return to Question 510.

ab_webmaster@abacon.com

©2002 William J. Mullin

Legal Notice